The domain of the function
f(x)=[4{to the power x}+8{to the power 2/3(x-2)}-52-2{to the power 2(x-1)}]{to the power1/6} is:
SOLN:
4{to the power x}+8{to the power 2/3(x-2)}-52-2{to the power 2(x-1)}>0
2{to the power 2x}+2{to the power 2(x-2)}-2{to the power 2(x-1)}>52
2{to the power 2x}>64 [HOW?]
The domain of the function
f(x)=[4{to the power x}+8{to the power 2/3(x-2)}-52-2{to the power 2(x-1)}]{to the power1/6} is:
SOLN:
4{to the power x}+8{to the power 2/3(x-2)}-52-2{to the power 2(x-1)}>0
2{to the power 2x}+2{to the power 2(x-2)}-2{to the power 2(x-1)}>52
2{to the power 2x}>64 [HOW?]